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Finding the Fourth Proportional to 30,950.66, 42,730.54 and 29,179.46

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Solution

The fourth proportional to 30,950.66, 42,730.54 and 29,179.46 is: 40,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.66 : 42,730.54 = 29,179.46 : x
  2. Step 2: Convert to fraction form
    30,950.66/42,730.54 = 29,179.46/x
  3. Step 3: Cross multiply
    30,950.66x = 42,730.54 × 29,179.46
  4. Step 4: Simplify right side
    30,950.66x = 1,246,854,082.71
  5. Step 5: Solve for x
    x = 1,246,854,082.71/30,950.66
  6. Step 6: Final answer
    x = 40,285.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.